Chapter 7: Q. 2 (page 655)
Fill in the blanks.
For r_____ , the sequence converges to _____.
Short Answer
The required answer is for , the sequence converges to 1 and for , the sequence converges to 0.
Chapter 7: Q. 2 (page 655)
Fill in the blanks.
For r_____ , the sequence converges to _____.
The required answer is for , the sequence converges to 1 and for , the sequence converges to 0.
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Get started for freeUse either the divergence test or the integral test to determine whether the series in Given Exercises converge or diverge. Explain why the series meets the hypotheses of the test you select.
Use either the divergence test or the integral test to determine whether the series in Exercises 32–43 converge or diverge. Explain why the series meets the hypotheses of the test you select.
36.
Letand be two convergent geometric series. If b and v are both nonzero, prove that is a geometric series. What condition(s) must be met for this series to converge?
Express each of the repeating decimals in Exercises 71–78 as a geometric series and as the quotient of two integers reduced to lowest terms.
Express each of the repeating decimals in Exercises 71–78 as a geometric series and as the quotient of two integers reduced to lowest terms.
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